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Finding the Fourth Proportional to 31,845.62, 47,767.93 and 8,152.97

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Solution

The fourth proportional to 31,845.62, 47,767.93 and 8,152.97 is: 12,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,845.62 : 47,767.93 = 8,152.97 : x
  2. Step 2: Convert to fraction form
    31,845.62/47,767.93 = 8,152.97/x
  3. Step 3: Cross multiply
    31,845.62x = 47,767.93 × 8,152.97
  4. Step 4: Simplify right side
    31,845.62x = 389,450,599.29
  5. Step 5: Solve for x
    x = 389,450,599.29/31,845.62
  6. Step 6: Final answer
    x = 12,229.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.